82 citations · 725 across the 56 of their papers we have counts for
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Construction of the Lyapunov spectrum in a chaotic system displaying phase synchronization
Leonardo De Carlo, Guido Gentile, Alessandro Giuliani
We consider a three-dimensional chaotic system consisting of the suspension of Arnold's cat map coupled with a clock via a weak dissipative interaction. We show that the coupled sy…
Borel summability and Lindstedt series
O. Costin, G. Gallavotti, G. Gentile +1
Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the stre…
Fractional Lindstedt series
Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani
The parametric equations of the surfaces on which highly resonant quasi-periodic motions develop (lower-dimensional tori) cannot be analytically continued, in general, in the pertu…
Stability for quasi-periodically perturbed Hill's equations
Guido Gentile, Daniel A. Cortez, Joao C. A. Barata
We consider a perturbed Hill's equation of the form , where is real analytic and periodic, is real analytic and quasi-periodic…
Hyperbolic low-dimensional invariant tori and summations of divergent series
G. Gallavotti, G. Gentile
We consider a class of a priori stable quasi-integrable analytic Hamiltonian systems and study the regularity of low-dimensional hyperbolic invariant tori as functions of the pertu…